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A horse and cow were sold for $540, making a profit of 25% on the

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A horse and cow were sold for $540, making a profit of 25% on the  [#permalink]

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New post 30 Mar 2019, 23:30
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Question Stats:

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A horse and cow were sold for $540, making a profit of 25% on the horse and 20% on the cow. By selling for $538, the profit would be 20% on the horse and 25% on the cow. Find the cost of the horse.

A. $160
B. $240
C. $200
D. $320
E. $140

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A horse and cow were sold for $540, making a profit of 25% on the  [#permalink]

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New post 30 Mar 2019, 23:54
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DisciplinedPrep wrote:
A horse and cow were sold for $540, making a profit of 25% on the horse and 20% on the cow. By selling for $538, the profit would be 20% on the horse and 25% on the cow. Find the cost of the horse.

A. $160
B. $240
C. $200
D. $320
E. $140


let price of horse ; 125x and cow 120y
125x+120y=540--(1)
and other eqn 120x+125y=538--(2)
solve for eqn 1 & 2
we get x= 2.4
so price of horse ; 100*2.4 ; 240 IMO B


solving linearly is a little tedious.. if anyone has some alternate solution please share
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A horse and cow were sold for $540, making a profit of 25% on the   [#permalink] 30 Mar 2019, 23:54
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A horse and cow were sold for $540, making a profit of 25% on the

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